Calculating the Rate of Occurrence of Failures for Continuous-time Markov Chains with Application to a Two-component Parallel System

Calculating the Rate of Occurrence of Failures for Continuous-time Markov Chains with Application to a Two-component Parallel System

In this paper, we assume that a system process is either a continuous-time Markov chain or a higher dimensional Markov process after introducing some supplementary variables. A formula for evaluating the rate of occurrence of failures is derived. As an application, a maintenance model for a two-comp...

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Veröffentlicht in:The Journal of the Operational Research Society 1995-04, Vol.46 (4), p.528-536
1. Verfasser: Yeh, Lam
Format: Artikel
Sprache:eng
Schlagworte:
Applications
Applied sciences
Business and Management
Differential equations
Ergodic theory
Exact sciences and technology
Failure analysis
failures
geometric processes
Labor time
Laplace transformation
Machinery
Management
Markov analysis
Markov chains
Markov processes
Mathematical theorems
Operational research and scientific management
Operational research. Management science
Operations research
Operations Research/Decision Theory
Parallel processing
rate of occurrence of failures
Reliability theory. Replacement problems
Repair & maintenance
Runge Kutta method
Studies
System failures
Technical Note
Technical Notes
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Beschreibung
Zusammenfassung:In this paper, we assume that a system process is either a continuous-time Markov chain or a higher dimensional Markov process after introducing some supplementary variables. A formula for evaluating the rate of occurrence of failures is derived. As an application, a maintenance model for a two-component parallel system, in which component 1 after repair is not 'as good as new' but component 2 after repair is 'as good as new', is studied.
ISSN:0160-5682
1476-9360
DOI:10.1057/jors.1995.72